188224 has 28 divisors (see below), whose sum is σ = 397764. Its totient is φ = 88064.

The previous prime is 188197. The next prime is 188249. The reversal of 188224 is 422881.

188224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

188224 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 28224 = 400^2 + 168^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1002 + ... + 1174.

2¹⁸⁸²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198882).

188224 is an abundant number, since it is smaller than the sum of its proper divisors (209540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

188224 is a wasteful number, since it uses less digits than its factorization.

188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 188224 is about 433.8478996146. The cubic root of 188224 is about 57.3092862318.

The spelling of 188224 in words is "one hundred eighty-eight thousand, two hundred twenty-four".